# maths

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If a certain sum doubles itself after 3 yrs kept at simple interest. In how many yrs will it become 5 times of its value?

• maths -

(1+r)^3 = 2

2^log_2(5) = 5, so

(1+r)^(3*log_2(5)) = 5

3*log_2(5) = 3 * log5/log2 = 6.97 years

Makes sense, since
3 years = 2x
6 years = 4x
so, 6.97 years = 5x

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